1056279760 has 80 divisors (see below), whose sum is σ = 2564456400. Its totient is φ = 404103168.

The previous prime is 1056279743. The next prime is 1056279779. The reversal of 1056279760 is 679726501.

It can be written as a sum of positive squares in 8 ways, for example, as 89567296 + 966712464 = 9464^2 + 31092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1056279760² = 2231453862771315200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250792 + ... + 254968.

It is an arithmetic number, because the mean of its divisors is an integer number (32055705).

Almost surely, 2^1056279760 is an apocalyptic number.

1056279760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282228200).

1056279760 is an abundant number, since it is smaller than the sum of its proper divisors (1508176640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1056279760 is a wasteful number, since it uses less digits than its factorization.

1056279760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 1056279760 is about 32500.4578429289. The cubic root of 1056279760 is about 1018.4185926426.

The spelling of 1056279760 in words is "one billion, fifty-six million, two hundred seventy-nine thousand, seven hundred sixty".